{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ELK3OHZJFLANNQ72VKVGREJYWV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"eeecc88aa1dd575e82750a4c470ab3386439d3e1545ce66cc58270094094e877","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-11-23T20:29:49Z","title_canon_sha256":"50e9a13a6763aaf2742f7094b28faf05846bb1ca89e18ac22d05b542b4786981"},"schema_version":"1.0","source":{"id":"1211.5588","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5588","created_at":"2026-05-18T03:40:03Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5588v1","created_at":"2026-05-18T03:40:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5588","created_at":"2026-05-18T03:40:03Z"},{"alias_kind":"pith_short_12","alias_value":"ELK3OHZJFLAN","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"ELK3OHZJFLANNQ72","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"ELK3OHZJ","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:41d4315ee02ba03ed5589ad88cb47166e10b3b62846b976b574d21a3f7208f2b","target":"graph","created_at":"2026-05-18T03:40:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we characterize intra-regular LA-semihypergroups by using the properties of their left and right hyperideals and we investigate some useful conditions for an LA-semihypergroup to become an intra-regular LA-semihypergroup.","authors_text":"Faisal, Naveed Yaqoob, Piergiulio Corsini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-11-23T20:29:49Z","title":"On Intra-Regular Left Almost Semihypergroups with Pure Left Identity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5588","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cb6d1e8d2a4a2eae22afbbbdbbe2d691f5778536a3402ece6c35e185d7b60ed1","target":"record","created_at":"2026-05-18T03:40:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"eeecc88aa1dd575e82750a4c470ab3386439d3e1545ce66cc58270094094e877","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-11-23T20:29:49Z","title_canon_sha256":"50e9a13a6763aaf2742f7094b28faf05846bb1ca89e18ac22d05b542b4786981"},"schema_version":"1.0","source":{"id":"1211.5588","kind":"arxiv","version":1}},"canonical_sha256":"22d5b71f292ac0d6c3faaaaa689138b56825edca1fce95c7c3e37adabdee1afe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22d5b71f292ac0d6c3faaaaa689138b56825edca1fce95c7c3e37adabdee1afe","first_computed_at":"2026-05-18T03:40:03.991249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:03.991249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GZA3zpxvdNk9EnhyaqgRQ9Fkes0nC3rXk4f1bREg85rU0QL6afHUO/w1gfSgn6U3tbV5Ea3ZgY491soDnEHXAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:03.991862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.5588","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb6d1e8d2a4a2eae22afbbbdbbe2d691f5778536a3402ece6c35e185d7b60ed1","sha256:41d4315ee02ba03ed5589ad88cb47166e10b3b62846b976b574d21a3f7208f2b"],"state_sha256":"2ce346d2c3cf2973a52b4c4827717715599cc136284de21a97f8ea95ca48833f"}